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Enter a value, an expression, or a term with a variable like 10^n+1 to list a range. Switch to Database id to look a number up by its stored id. Reading never stores anything; use Create to add a number to the database. See the expression syntax & functions reference.

P · Proven prime
id #1100000004853868922 1,872 digits created 2023-10-24

Value

193684055754530224308804652059743887121497226199656682341071660999952164119135510668891448363392420649919476299374731582082053661122403379906077559080230210495916650347304593519608816545421821565815626966109656906301933027855701826207549679217974197666681262763124761317400725923443884622680934142925229729209012836177375992963332432861270529381433279638304830574014991834818926807709410713991761731882161436979403394144694311612114379235608747052469226463068215081901129719878839045418823142351025861668228507958675157528808641000420222008134663427585142556771699213777908629622559405073000164681876616947270516878785406385916562946602303621199990279527753720128300580620153603057513016716321878592275017051635203369095296795330299109072565242727143921347601945336381315723051306178530090566403317183439193518705634770286320505338181799484581001604044678502939205168357636418908393053837175577968067229831518109569171932183716517298265220951288409203115688389056397860893702566809326273222939377965251964661208625914770690070399825510359577808423178504975912820026073849336013028724582210757275768010431905936743136569009380351245508513127808982014022490248775471672437614758172598761517410866505705367882101808949060034548412587882263065704663024552647376697684493858025958134977068862414958383725801055667870315843835203434995497040882574688881716210282943448575562043611797439256682422079421517193757824262660079833618898681861238994234876800056088158377687979662159738364826955475380546528618046127086078640743399910775375168000882551492333857695673576111943521587408540122104785837001789292874292309815438407144404990763244555450625326853483430896124242245805581387470720436817748843918719584013313032606550851968449753064683861753508433685141773344854357923837078442173215982755056797033530930717013175222078694517982627664783580059185851756391554480191942078779857
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 91 of the certificate chain of a 3,109-digit prime (224 intermediate primes).

Certified number3,109-digit prime
Certificatedownload
Certificate chainshow step 91 of 224

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004853868922 --detail 2 --decimal
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"id":1100000004853868922},"decimal":true,"detail":2}}'